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A067980 Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+2), n>=0. 2

%I #4 Mar 31 2012 13:20:07

%S 3,13,31,69,140,274,519,963,1757,3165,5642,9972,17499,30521,52955,

%T 91461,157336,269702,460863,785295,1334713,2263293,3829846,6468264,

%U 10905075,18355429,30849559,51776133,86785892

%N Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+2), n>=0.

%C Second diagonal of triangle A067979. Second column of triangle A067990.

%F a(n)= sum(L(k+1)*L(n+2-k), k=0..n) = (4*n+3)*F(n+1)+3*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).

%F G.f.: (3+x)*(1+2*x)/(1-x-x^2)^2.

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Feb 15 2002

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Last modified June 19 17:53 EDT 2024. Contains 373507 sequences. (Running on oeis4.)